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Finding the Fourth Proportional to 4,026, 5,555.90 and 2,348.57

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Solution

The fourth proportional to 4,026, 5,555.90 and 2,348.57 is: 3,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026 : 5,555.90 = 2,348.57 : x
  2. Step 2: Convert to fraction form
    4,026/5,555.90 = 2,348.57/x
  3. Step 3: Cross multiply
    4,026x = 5,555.90 × 2,348.57
  4. Step 4: Simplify right side
    4,026x = 13,048,420.06
  5. Step 5: Solve for x
    x = 13,048,420.06/4,026
  6. Step 6: Final answer
    x = 3,241.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.